Useful scripts and functions
cardinal.m
– Calculates the cardinal functions <jsm>\ell_k(t)</jsm>.
euler.m
– Solves ODEs using Euler's method.
gs.m
– Solves systems of linear equations using Gauss–Seidel iteration.
impEuler.m
– Solves ODEs using the improved Euler method.
lagrange.m
– Lagrange polynomial interpolation. Uses
cardinal.m
.
newton.m
– Solves systems of nonlinear equations using Newton's method. Used together with
newton_ex.m
.
newton_ex.m
– Example system of nonlinear equations and its Jacobian. Used together with
newton.m
.
rk4.m
– Solves ODEs using the classical 4th order Runge–Kutta method.
stab.m
– Plots the stabilty domain for a given stability function.